No, it does not happen. https://twitter.com/CirqueAmy/status/1342242305785389056
If a human was able to produce both large and small gametes, and therefore has both reproductive systems to support the production and release of those gametes, then they would be both male and female simultaneously--a hermaphrodite.
Hermaphrodites do not exist in mammals. Why? Because the genetic and hormonal mechanisms that lead to the development of male or female reproductive anatomy are 'mutually antagonistic' -- as one system develops, the other is inhibited.
The system of sex determination, differentiation, and development in mammals is not set up to produce a hermaphrodite.

In fact, it is evolved in a way that precludes the possibility that both fully developed reproductive systems can exist at once in the same individual.
Activists will call cases of Ovotesticular DSD (mix of internal ovarian and testicular tissue) 'hermaphrodites,' but these cases never have both sets of fully developed reproductive anatomy nor both sets of genitalia in one individual--a physical impossibility in mammals.
You can think of cases of OT-DSD as genetic mutations that cause development of internal testicular tissue among ovaries in a female, or a mix of ovarian tissue among testes in a male.
This means that you can have a female with bits of underdeveloped internal testicular tissue or a male with bits of underdeveloped internal ovarian tissue.

Presence of both gonadal tissues caused from genetic mutations =/= hermaphrodite.
Furthermore, it is unscientific and clinically problematic to label someone with OT-DSD 'hermaphrodite' because it narrows their traits and experiences down to the anatomy of their gonadal tissue when that is not at all the entire story of their sex development.
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